$$\frac{1}{4}\times5\frac{3}{7}$$
$\frac{19}{14}\approx 1.357142857$
$$\frac{1}{4}\times \frac{35+3}{7}$$
$$\frac{1}{4}\times \frac{38}{7}$$
$$\frac{1\times 38}{4\times 7}$$
$$\frac{38}{28}$$
$$\frac{19}{14}$$
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$\frac{19}{2 \cdot 7} = 1\frac{5}{14} = 1.3571428571428572$